Enhance standard table view - new columns and new rows

I have to enhance a table view. To be more accurate it is the result list in the incident search in SolMan 7.2: Component AIC_INCIDENT_S, View AIC_INCIDENT_S/IncidentSRL

I actually stuck to figure out what is the correct enhancement procedure. I have to insert extra lines in the search result and add a few new columns as well. The target is to create a new line per source document / follow-on document (1:n) and to add a few fields with information about the follow-on document.

Can somebody give me a hint where to start? Unfortunately I don't have much experience with the WebClient UI so I am afraid to choose the wrong track.